TY - JOUR
T1 - Boundary element method interior stress/ strain analysis for two-dimensional static thermoelasticity involving nonuniform volume heat sources
AU - Shiah, Y. C.
AU - Huang, Jin H.
N1 - Funding Information:
Received 7 June 2004; accepted 19 November 2004. The authors gratefully acknowledge the financial support by the National Science Council of Taiwan, Republic of China (Grant number NSC-93-2212-E-035-006) and the Feng Chia University Distinguished Research Program (Grant number FCU-93GB15). Address correspondence to Y. C. Shiah, Department of Aerospace and Systems Engineering, Feng Chia University, Taichung, 407 Taiwan, Republic of China. E-mail: [email protected]
PY - 2005/4
Y1 - 2005/4
N2 - In the elastostatics analysis of the boundary element method, strains at interior points of an elastic body are calculated using the respective Somigliana identity after the boundary integral equation is solved for boundary displacements and tractions. In the presence of a nonuniform volume heat source, an extra line integral depending on the spatial location of the source point will appear in the boundary integral equation for displacements. Therefore, the usual spatial differentiations of the boundary integral equation for displacements will not yield proper strains if the source point is inside the domain. Somigliana's identity is derived for the interior strains in an anisotropic medium loaded with a nonuniform volume heat source. By coupling the associated thermal field with elasticity, this work provides an alternative and effective numerical approach of analyzing the interior thermal stresses in a fully anisotropic medium loaded with arbitrary nonuniform volume heat sources.
AB - In the elastostatics analysis of the boundary element method, strains at interior points of an elastic body are calculated using the respective Somigliana identity after the boundary integral equation is solved for boundary displacements and tractions. In the presence of a nonuniform volume heat source, an extra line integral depending on the spatial location of the source point will appear in the boundary integral equation for displacements. Therefore, the usual spatial differentiations of the boundary integral equation for displacements will not yield proper strains if the source point is inside the domain. Somigliana's identity is derived for the interior strains in an anisotropic medium loaded with a nonuniform volume heat source. By coupling the associated thermal field with elasticity, this work provides an alternative and effective numerical approach of analyzing the interior thermal stresses in a fully anisotropic medium loaded with arbitrary nonuniform volume heat sources.
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U2 - 10.1080/01495730590916614
DO - 10.1080/01495730590916614
M3 - Article
AN - SCOPUS:16244362050
SN - 0149-5739
VL - 28
SP - 363
EP - 390
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
IS - 4
ER -